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Finding the Fourth Proportional to 261,605.10, 391,630.05 and 172,958.70

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Solution

The fourth proportional to 261,605.10, 391,630.05 and 172,958.70 is: 258,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,605.10 : 391,630.05 = 172,958.70 : x
  2. Step 2: Convert to fraction form
    261,605.10/391,630.05 = 172,958.70/x
  3. Step 3: Cross multiply
    261,605.10x = 391,630.05 × 172,958.70
  4. Step 4: Simplify right side
    261,605.10x = 67,735,824,328.94
  5. Step 5: Solve for x
    x = 67,735,824,328.94/261,605.10
  6. Step 6: Final answer
    x = 258,923.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.